3. An aptitude test was given to a random sample of people intending to become data-entry clerks. The results are shown below, where x = the score on a 10- point scale and /= the frequency the frequency of people with this score. 1 2 3 4 5 6 7 8 9 10 21 46 51 18 12 10 8 5 9 Assume that the sales record is 42 representative of the population of all sales days. Use the relative frequency to find P(x) for x = 1 to 10. (n = {f) x f a. 1 2 3 4 5 6 7 8 9 10 P(x) *Make sure ZP(x) = 1 b. Make a histogram to graph the probability distribution shown in part (a) c. Compute the probability that .x is between 3 and 8 (including 3 and 8). d. Compute the probability that x is less than 2. Complete the table below to answer parts (e) and (f). P(x) xP(x) x- (x-) x ExP(x) = (x-) P(x) = (x-)-P(x) e. Compute the expected value of the probability distribution. f. Compute the standard deviation of the probability distribution.